Results 51 to 60 of about 7,273 (258)
In this paper, we introduce a new condition namely: condition (W.C.C.) and utilize the same to prove a Suzuki type unique common fixed point theorem for two hybrid pairs of mappings in partial metric spaces employing the partial Hausdorff metric which ...
Rao K. P. R., Rao K. R. K., Imdad M.
doaj +1 more source
Extending pairs of metrics [PDF]
We consider the problem of extension of pairs of continuous and bounded, partial metrics which agree on the non-empty intersections of their domains which are closed and bounded subsets of an arbitrary but fixed metric space.
I. Z. Stasyuk, E. D. Tymchatyn
doaj
Front Propagation Through a Perforated Wall
ABSTRACT We consider a bistable reaction– diffusion equation ut=Δu+f(u)$u_t=\Delta u +f(u)$ on RN${\mathbb {R}}^N$ in the presence of an obstacle K$K$, which is a wall of infinite span with many holes. More precisely, K$K$ is a closed subset of RN${\mathbb {R}}^N$ with smooth boundary such that its projection onto the x1$x_1$‐axis is bounded and that ...
Henri Berestycki +2 more
wiley +1 more source
Gromov--Hausdorff Convergence of Discrete Transportation Metrics [PDF]
22 pages, to appear in SIAM J.
Gigli, Nicola, Mass, J.
openaire +2 more sources
On the Hausdorff Dimension of CAT(κ) Surfaces
We prove that a closed surface with a CAT(κ) metric has Hausdorff dimension = 2, and that there are uniform upper and lower bounds on the two-dimensional Hausdorff measure of small metric balls.
Constantine David, Lafont Jean-François
doaj +1 more source
On the continuity of partial actions of Hausdorff groups on metric spaces [PDF]
We provide a sufficient condition for a separately continuous partial action of a Hausdorff group on a metric space to be continuous.Proporcionamos condiciones suficientes para que una acción parcial separadamente continua de un grupo de Hausdorff en un ...
Gómez, Jorge +2 more
core
The product profile of enzymatically hydrolyzed PET can be modified by medium engineering and thereby adapted to a desired product. TPA, MHET or BHET can be forced as the predominant product using a basic pH (blue), 25 % ethylene glycol (EG) and IsPETasewt (green) or ≥25 % EG and LCCICCG (pink), respectively.
Tobias Heinks +8 more
wiley +1 more source
In this paper we prove that in the set of all nonempty bounded closed subsets of a metric space (Χ, ρ) the Hausdorff metric is the Hausdorff intrinsic metric if and only if the metric p is an intrinsic metric.
Sosov E.
core
Gromov–Hausdorff convergence of non-Archimedean fuzzy metric spaces [PDF]
We introduce the notion of the Gromov–Hausdorff fuzzy distance between two non-Archimedean fuzzy metric spaces (in the sense of Kramosil and Michalek). Basic properties involving convergence and the fuzzy version of the completeness theorem are presented.
Sanchis López, Manuel, Macario, Sergio
core +1 more source
We developed a lightweight deep learning framework that integrates frequency‐ and spatial‐domain ultrasound features with segmentation‐assisted classification for hepatic echinococcosis diagnosis. The model outperformed existing state‐of‐the‐art methods in both accuracy and inference speed while requiring substantially fewer computational resources ...
Zhu He +11 more
wiley +1 more source

